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Finding the Fourth Proportional to 185,842.64, 256,461.42 and 100,960.30

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Solution

The fourth proportional to 185,842.64, 256,461.42 and 100,960.30 is: 139,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,842.64 : 256,461.42 = 100,960.30 : x
  2. Step 2: Convert to fraction form
    185,842.64/256,461.42 = 100,960.30/x
  3. Step 3: Cross multiply
    185,842.64x = 256,461.42 × 100,960.30
  4. Step 4: Simplify right side
    185,842.64x = 25,892,421,901.63
  5. Step 5: Solve for x
    x = 25,892,421,901.63/185,842.64
  6. Step 6: Final answer
    x = 139,324.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.